# Non-axisymmetric local magnetostatic equilibrium

## Abstract

In this study, we outline an approach to the problem of local equilibrium in non-axisymmetric configurations that adheres closely to Miller's original method for axisymmetric plasmas. Importantly, this method is novel in that it allows not only specification of 3D shape, but also explicit specification of the shear in the 3D shape. A spectrally-accurate method for solution of the resulting nonlinear partial differential equations is also developed. We verify the correctness of the spectral method, in the axisymmetric limit, through comparisons with an independent numerical solution. Some analytic results for the two-dimensional case are given, and the connection to Boozer coordinates is clarified.

- Authors:

- General Atomics, San Diego, CA (United States)

- Publication Date:

- Research Org.:
- General Atomics, San Diego, CA (United States)

- Sponsoring Org.:
- USDOE Office of Nuclear Energy (NE)

- OSTI Identifier:
- 1356309

- Grant/Contract Number:
- FG02-95ER54309

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of Plasma Physics

- Additional Journal Information:
- Journal Volume: 81; Journal Issue: 03; Journal ID: ISSN 0022-3778

- Publisher:
- Cambridge University Press

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

### Citation Formats

```
Candy, Jefferey M., and Belli, Emily A.
```*Non-axisymmetric local magnetostatic equilibrium*. United States: N. p., 2015.
Web. doi:10.1017/S0022377815000264.

```
Candy, Jefferey M., & Belli, Emily A.
```*Non-axisymmetric local magnetostatic equilibrium*. United States. doi:10.1017/S0022377815000264.

```
Candy, Jefferey M., and Belli, Emily A. Tue .
"Non-axisymmetric local magnetostatic equilibrium". United States.
doi:10.1017/S0022377815000264. https://www.osti.gov/servlets/purl/1356309.
```

```
@article{osti_1356309,
```

title = {Non-axisymmetric local magnetostatic equilibrium},

author = {Candy, Jefferey M. and Belli, Emily A.},

abstractNote = {In this study, we outline an approach to the problem of local equilibrium in non-axisymmetric configurations that adheres closely to Miller's original method for axisymmetric plasmas. Importantly, this method is novel in that it allows not only specification of 3D shape, but also explicit specification of the shear in the 3D shape. A spectrally-accurate method for solution of the resulting nonlinear partial differential equations is also developed. We verify the correctness of the spectral method, in the axisymmetric limit, through comparisons with an independent numerical solution. Some analytic results for the two-dimensional case are given, and the connection to Boozer coordinates is clarified.},

doi = {10.1017/S0022377815000264},

journal = {Journal of Plasma Physics},

number = 03,

volume = 81,

place = {United States},

year = {Tue Mar 24 00:00:00 EDT 2015},

month = {Tue Mar 24 00:00:00 EDT 2015}

}

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